 | Robert Simson - 1781 - 534 σελίδες
...one of them is equal to the rectangle contained by the fegments of the other. Let the two ftraight lines AC, BD, within the circle ABCD, cut one another in the point E ; the reel-angle contained by AE, EC is equal to the rectangle contained by BE, ED. If AC, BD pafs each of... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...one of them, is equal to the rectangle contained by the fegments of the other. Let the two ftraight lines AC, BD, within the circle ABCD, cut one another in the point E ; the reftangle contained by AE, EC is equal to the reftangle contained by BE, ED. If AC, BD pafs each of... | |
 | John Playfair, Euclid - 1804 - 468 σελίδες
...one of them is equal to the reftangle contained by the fegments of the other. Let the two ftraight lines AC, BD, within the circle ABCD, cut one another in the point E : the reftangle contained by AE, EC is equal to thfreftangle contained by BE, ED. If AC, BD pafs each of... | |
 | John Playfair - 1806 - 320 σελίδες
...given angle D. Which was to be done. PROP. XXXV. THEOR. IF two straight lines within a circle cut each other, the rectangle contained* by the segments of...rectangle contained by the segments of the other. 3.3.3. b5.2. r 47. 1. Let the two straight lines AC, BD, within the circle ABCD, cut each other in... | |
 | Robert Simson - 1806 - 546 σελίδες
...was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one ano- See N, ther, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. c Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E : the rectangle... | |
 | Sir John Leslie - 1809 - 522 σελίδες
...intercepted between the circumference and the point E. PROP. XXXVI. THEOR. one is equivalent to that contained by the segments of the other. Let the two straight lines AD and AF be extended through the point A, to cut the circumference BFD of a circle; the rectangle... | |
 | Euclid - 1810 - 554 σελίδες
...be done. F PROP. XXXV. THEOR. C IF two straight lines within a circle cut one ano- See Note. ther, the rectangle contained by the segments of one of...another in the point E: the rectangle contained by AEi EC is equal to the rectangle contained by BE, ED. If AC, BD pass each of them through the centre,... | |
 | Euclides - 1814 - 560 σελίδες
...was to be ddhe. PROP. XXXV. THF.OR. Hoox Iff. IF two straight lines within a circle cut one an-See N. other, the rectangle contained by the segments...the circle ABCD, cut one another in the point E; the rectangle,contained byAE,EC is equal to the rectangle contained by BE, ED. A If ACBD pass each of them... | |
 | Thomas Keith - 1817 - 306 σελίδες
...DC : AI, :: AD : ED, or D c X z D — AD* 8. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other, (Euci'iD 35 ./HI.) Hence, ¥c'x<''» — AUXCB, and because A c — c B in this figure, xc X CD ~ AC*,... | |
 | Sir John Leslie - 1817 - 456 σελίδες
...drawn to cut the circumference ; the rectangle under the segments of the one, is equivalent to that contained by the segments of the other, Let the two straight lines AD and AF be extended through the point A, to cut the circumference BFD of a circle ; the rectangle... | |
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Wherefore from the given circle ABC has been cut off the segment BAC, containing an angle equal to the given angle DQEP PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is... 
